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Apr 13, 2022 at 20:09 vote accept Riku
Apr 3, 2022 at 6:19 comment added Denis Serre The pullback operation applies to differential forms of various degrees $r$. When $r=0$, these are functions and the pullback is just the composition. When $r\ge N$, the pullback is the Jacobian of $\phi^0_t$, times this composition.
Apr 2, 2022 at 21:09 comment added Riku Thank you. One more question: what is explicitly $(\phi^0_t)_\sharp u_0$ and how does it differ from $u_0\circ \phi_t^0$?
Apr 1, 2022 at 13:59 history edited Denis Serre CC BY-SA 4.0
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Apr 1, 2022 at 13:54 comment added Denis Serre yes indeed. Let me give some more details.
Apr 1, 2022 at 12:42 comment added Riku I think I understand: so you're saying that the supremum change depends on the divergence of $a$ for the conservation law?
Apr 1, 2022 at 12:39 history answered Denis Serre CC BY-SA 4.0